Low-Reynolds-number flow through two-dimensional shunts
Low-Reynolds-number flow through two-dimensional shunts
复制标题
通过二维分流器的低雷诺数流动
DOI：
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复制
发表时间：
2013
影响因子：
3.7
通讯作者：
Jennifer H. Siggers
中科院分区：
文献类型：
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作者：
Adriana Setchi;A. J. Mestel;K. Parker;Jennifer H. Siggers
摘要受许多与旁路、混合和泄漏有关的生物和工业应用的启发，我们考虑了两个通道之间的分流中的低雷诺数流动。通过匹配矩形区域内Papkovich-Fadle本征函数的双正交展开，得到了流函数的解析解。通过施加不同的入口和出口流量分布，一般解可以用来模拟各种有趣的二维分流流动问题。我们提出了几种这样的血流分布，但大多数结果与小肠侧侧吻合术的特殊问题有关。我们考虑通过分流术的不同流量比例，特别强调压力和回流区，这是评估与该外科手术相关的健康风险的重要因素。
Abstract Motivated by numerous biological and industrial applications relating to bypasses, mixing and leakage, we consider low-Reynolds-number flow through a shunt between two channels. An analytical solution for the streamfunction is found by matching biorthogonal expansions of Papkovich–Fadle eigenfunctions in rectangular subregions. The general solution can be adapted to model a variety of interesting problems of flow through two-dimensional shunts by imposing different inlet and outlet flux distributions. We present several such flow profiles but the majority of results relate to the particular problem of a side-to-side anastomosis in the small intestine. We consider different flux fractions through the shunt with particular emphasis on the pressure and recirculating regions, which are important factors in estimating health risks pertaining to this surgical procedure.
斯托克斯流过墙上的缝隙
DOI：
10.1098/rspa.2010.0040
发表时间：
2010
期刊：
Mathematical, Physical and Engineering Sciences
影响因子：
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作者：
Crowdy D
通讯作者：
Crowdy D